Question

By selling 200 mangoes, a fruit seller gains SP of 40 mangoes. Find his gain %.
A. 0%
B. 25%
C. 35%
D. 50%

Answer 1

Hint: Take the selling price (SP) of each mango as ‘x’. Thus, find the SP of 200 mangoes and that of gain. From the given values find the cost price. Thus, gain percentage is equal to gain by cost price.

Complete step by step answer:
There are a total of 200 mangoes with the seller. Now let us consider the selling price of each of their mangoes as x Rs.
We total there are 200 mangoes. So, the selling price of these 100 mangoes is (200x) Rs.
It is said the fruit seller gains the SP of 40 mangoes.
$\therefore $ Gain = selling price of 40 mangoes = (40x) Rs.
We know the basic formula, that
Gain = selling price – cost price
We know that gain is the additional amount that the seller has earned.
Gain is different from profit, which is a financial gain, especially the difference between earned and the amount spent in buying etc.
$\therefore $ Gain = selling price – cost price
$\therefore $Cost price = selling price – gain
Cost price of 200 mangoes = selling price of 200 mangoes – gain
= 200x – 40x = 160x
Thus, we got a cost price of 200 mangoes as 160 x.
Now, $\text{Gain percentage = }\dfrac{\text{gain}}{\text{costprice}}\text{ }\!\!\times\!\!\text{ 100}$
We know gain as 40x and cost price as 160x.
$\therefore \text{Gain percentage}=\dfrac{40x}{160x}\times 100=\dfrac{20}{80}\times 100$
$\dfrac{200}{8}=\dfrac{100}{4}=25/%$
Thus, we got the gain percentage as $25/%$

So, the correct answer is “Option B”.

Note: Basic formulas of gain, SP and CP, which we have used here. There are the basic for profit and loss calculations in math and also for day to day purposes.